A+ Answers
1. Consider a graph of
(
)
1
12
3
+
-
=
x
x
x
f
shown below.
a) Find the slope and equation of the line joining A and B.
b) Find the slope and equation of the line joining A and C.
c) Find the y-coordinate of the point P with x-coordinate equal to 0.5 (x=0.5.)
d) Find the slope and equation of the line joining A and P.
2. Consider the function defined by
(
)
ï
î
ï
í
ì
>
-
£
£
-
-
-
£
-
=
1
1
1
1
4
1
1
2
2
x
if
x
x
if
x
x
if
x
x
f
Find
(
)
2
-
f
(
)
1
-
f
(
)
0
f
(
)
h
f
-
1
1
0
<
<
h
(
)
k
f
+
1
0
>
k
3. Recall the greatest integer function
ë
û
x
, which states that
ë
û
î
í
ì
<
=
integer
an
not
is
interger
largest
integer
an
is
x
if
x
x
if
x
x
Find
ë
û
p
ë
û
p
cos
4. An observer is standing 200 meters from the point G, at which, a balloon is vertically released. Find the height of the balloon at the time the angle of elevation is
o
15
5. Recall that a graph of
x
y
sin
=
is
Find all the values of
x
in the interval[
]
p
4
0
,
which satisfy the equation